2166144425200 has 240 divisors, whose sum is σ = 6266479205376. Its totient is φ = 703488614400.

The previous prime is 2166144425129. The next prime is 2166144425227. The reversal of 2166144425200 is 25244416612.

It is a self number, because there is not a number n which added to its sum of digits gives 2166144425200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6469920 + ... + 6796480.

Almost surely, 2^{2166144425200} is an apocalyptic number.

2166144425200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2166144425200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133239602688).

2166144425200 is an abundant number, since it is smaller than the sum of its proper divisors (4100334780176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2166144425200 is a wasteful number, since it uses less digits than its factorization.

2166144425200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326712 (or 326701 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 2166144425200 in words is "two trillion, one hundred sixty-six billion, one hundred forty-four million, four hundred twenty-five thousand, two hundred".